A collaborative research project between the Indian Institute of Science and the International Astronomical Union has uncovered evidence of advanced solar physics in a little-known 11th-century Sanskrit manuscript titled the Siddhanta-Dipika. The study utilizes computational modeling to show that the manuscript contains specific recursive algorithms designed to calculate solar photospheric perturbations—phenomena modernly associated with sunspot activity and solar flares.
Scholars discovered that the text employs a unique 'Bhinnaka' mathematical notation to describe the irregular fluctuations in the Sun's luminosity and its impact on terrestrial shadows. These findings indicate that medieval Indian astronomers had developed the mathematical tools to recognize that the Sun's surface was not a static sphere but was subject to dynamic, non-linear changes. The research suggests that these observations were used to refine the calculation of eclipse durations to a level of accuracy not seen again until the 18th century.